Abstract
We prove pointwise bounds for suitable minimizing sequences of functionals whose model is
ℱ(u) = ∫Ω(|Du(x)|p + h(det Du(x)))dx
where and h : ℝ → [0, +∞) is convex with 2 ≤ p < n.
Received: 2009-05-08
Accepted: 2010-02-16
Published Online: 2010-05-31
Published in Print: 2011-January
© de Gruyter 2010
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Keywords for this article
Calculus of variations;
functionals;
minimizing sequences;
bounds